Official ILTS Math Exam with Complete
Solutions
Skip Counting - ANS-Counting by a number, like 3's
Can be used to teach students the concept of multiplication
Inverse Operation of Multiplication - ANS-Division
12/3 = 4 implies that 12 = 4 x3
benchmark fraction - ANS-Fractions that are commonly used for estimation.
Example: 0, 1/2, and 1.
Helps students gain an understanding of the magnitude of other fractions
Equilateral Triangle - ANS-A triangle with three congruent sides
Angles will always be 60 degrees
Isoscele Triangle - ANS-A triangle with at least two congruent sides
Right-Angle Triangle - ANS-A triangle with one right angle (90 degrees)
Other angles will be 45
Scalene Triangle - ANS-A triangle with no equal sides
Obtuse Triangle - ANS-A triangle with one angle that is greater than 90 degrees.
None of its sides are equal in length
Segmented Bar Graph - ANS-Used to compare the distribution of a categorical variable
in each of several groups. For each group, there is a single bar with "segments" that
correspond to the different values of the categorical variable. The height of each
segment is determined by the percent of individuals in the group with that value. Each
bar has a total height of 100%.
Box Plot (Box and Whisker Plot) - ANS-Shows distribution of data values on a number
line. Divided into quartiles.
, Q1: median of lower half
Q3: median of upper half
Frequency Distribution - ANS-An arrangement of data that indicates how often a
particular score or observation occurs
Histogram - ANS-A graph of vertical bars representing the frequency distribution of a set
of data.
Line Graph - ANS-A graph that uses one or more lines to show changes in statistics
over time or space
Pie Graph - ANS-A graph used to show part to whole.
Scatterplot - ANS-a graphed cluster of dots, each of which represents the values of two
variables
Stem and Leaf Plot - ANS-A method of graphing a collection of numbers by placing the
"stem" digits (or initial digits) in one column and the "leaf" digits (or remaining digits) out
to the right.
Bell Curve - ANS-distribution of scores in which the bulk of the scores fall toward the
middle, with progressively fewer scores toward the "tails" or extremes
Perimeter - ANS-The sum of the lengths of the sides of a polygon
Area of a square - ANS-A=s²
(width x height)
Area of a triangle - ANS-A=1/2bh
(1/2 base x height)
Area of a rectangle - ANS-A=lw
Area of a circle - ANS-A=πr²
(pi x radius squared)
Volume - ANS-The amount of space an object takes up
(length x width x height)
fraction to decimal - ANS-Divide numerator by denominator
Solutions
Skip Counting - ANS-Counting by a number, like 3's
Can be used to teach students the concept of multiplication
Inverse Operation of Multiplication - ANS-Division
12/3 = 4 implies that 12 = 4 x3
benchmark fraction - ANS-Fractions that are commonly used for estimation.
Example: 0, 1/2, and 1.
Helps students gain an understanding of the magnitude of other fractions
Equilateral Triangle - ANS-A triangle with three congruent sides
Angles will always be 60 degrees
Isoscele Triangle - ANS-A triangle with at least two congruent sides
Right-Angle Triangle - ANS-A triangle with one right angle (90 degrees)
Other angles will be 45
Scalene Triangle - ANS-A triangle with no equal sides
Obtuse Triangle - ANS-A triangle with one angle that is greater than 90 degrees.
None of its sides are equal in length
Segmented Bar Graph - ANS-Used to compare the distribution of a categorical variable
in each of several groups. For each group, there is a single bar with "segments" that
correspond to the different values of the categorical variable. The height of each
segment is determined by the percent of individuals in the group with that value. Each
bar has a total height of 100%.
Box Plot (Box and Whisker Plot) - ANS-Shows distribution of data values on a number
line. Divided into quartiles.
, Q1: median of lower half
Q3: median of upper half
Frequency Distribution - ANS-An arrangement of data that indicates how often a
particular score or observation occurs
Histogram - ANS-A graph of vertical bars representing the frequency distribution of a set
of data.
Line Graph - ANS-A graph that uses one or more lines to show changes in statistics
over time or space
Pie Graph - ANS-A graph used to show part to whole.
Scatterplot - ANS-a graphed cluster of dots, each of which represents the values of two
variables
Stem and Leaf Plot - ANS-A method of graphing a collection of numbers by placing the
"stem" digits (or initial digits) in one column and the "leaf" digits (or remaining digits) out
to the right.
Bell Curve - ANS-distribution of scores in which the bulk of the scores fall toward the
middle, with progressively fewer scores toward the "tails" or extremes
Perimeter - ANS-The sum of the lengths of the sides of a polygon
Area of a square - ANS-A=s²
(width x height)
Area of a triangle - ANS-A=1/2bh
(1/2 base x height)
Area of a rectangle - ANS-A=lw
Area of a circle - ANS-A=πr²
(pi x radius squared)
Volume - ANS-The amount of space an object takes up
(length x width x height)
fraction to decimal - ANS-Divide numerator by denominator
